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Finding the Third Proportional to 1,074,138 and 2,340,002

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Solution

The third proportional to 1,074,138 and 2,340,002 is: 5,097,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074,138 : 2,340,002 = 2,340,002 : x
  2. Step 2: Convert to fraction form
    1,074,138/2,340,002 = 2,340,002/x
  3. Step 3: Cross multiply
    1,074,138x = 2,340,002 × 2,340,002
  4. Step 4: Simplify right side
    1,074,138x = 5,475,609,360,004
  5. Step 5: Solve for x
    x = 5,475,609,360,004/1,074,138
  6. Step 6: Final answer
    x = 5,097,677.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.